Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process
Mathematical Physics
2020-12-22 v4 Statistical Mechanics
math.MP
Probability
Exactly Solvable and Integrable Systems
Abstract
We find the formulas of the transition probabilities of the -particle multi-species asymmetric simple exclusion processes (ASEP), and show that the transition probabilities are written as a determinant when the order of particles in the final state is the same as the order of particles in the initial state.
Keywords
Cite
@article{arxiv.1809.07362,
title = {Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process},
author = {Eunghyun Lee},
journal= {arXiv preprint arXiv:1809.07362},
year = {2020}
}